Stability and Stabilization of Fractional-Order Uncertain Nonlinear Systems With Multiorder

被引：19

作者：

Chen, Liping ^{[1
]}

Guo, Wenliang ^{[1
]}

Gu, Panpan ^{[1
]}

Lopes, Antonio M. M. ^{[2
]}

Chu, Zhaobi ^{[1
]}

Chen, YangQuan ^{[3
]}

机构：

[1] Hefei Univ Technol, Sch Elect Engn & Automat, Hefei 230009, Peoples R China

[2] Univ Porto, Fac Engn, LAETA, INEGI, P-4200465 Porto, Portugal

[3] Univ Calif Merced, Mechatron Embedded Syst & Automat Lab, Merced, CA 95343 USA

来源：

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS | 2023年 / 70卷 / 02期

关键词：

Stability criteria; Numerical stability; Circuit stability; Symmetric matrices; Linear matrix inequalities; State feedback; Nonlinear systems; Fractional-order systems; stability; stabilization; multi-order systems; ROBUST STABILITY;

D O I：

10.1109/TCSII.2022.3178280

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

Fractional-order (FO) commensurate systems have been widely studied in recent years, including their stability and control. However, for incommensurate FO systems these problems are still challenging and further research is needed. In this brief, the stability and stabilization of incommensurate FO nonlinear systems with time-varying bounded uncertainties are investigated. A new stability criterion in the form of linear matrix inequality is formulated by employing the FO comparison principle of multi-order FO systems. Then, a state feedback controller for system stabilization is derived based on the stability criteria proposed. Numerical simulations demonstrate the effectiveness of the theoretical formulation.

引用

页码：576 / 580

页数：5

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